10634772510 has 96 divisors (see below), whose sum is σ = 28032443712. Its totient is φ = 2796963840.

The previous prime is 10634772493. The next prime is 10634772541. The reversal of 10634772510 is 1527743601.

It is a happy number.

10634772510 is a `hidden beast` number, since 1 + 0 + 634 + 7 + 7 + 2 + 5 + 10 = 666.

It is a super-2 number, since 2×10634772510² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2713072 + ... + 2716988.

It is an arithmetic number, because the mean of its divisors is an integer number (292004622).

Almost surely, 2^10634772510 is an apocalyptic number.

10634772510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10634772510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14016221856).

10634772510 is an abundant number, since it is smaller than the sum of its proper divisors (17397671202).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10634772510 is a wasteful number, since it uses less digits than its factorization.

10634772510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10634772510 in words is "ten billion, six hundred thirty-four million, seven hundred seventy-two thousand, five hundred ten".